There might be 18 colored papers.
colored papers to white papers:
3:8
48 white papers
8x6 = 48
Then 3x6= 18
There might be 18 colored papers.
Ratios evaluate numbers, normally through dividing them. in case you are evaluating one facts factor (A) to another statistics factor (B), your formulation might be A/B. this indicates you are dividing data A by using information B. for example, if A is 5 and B is 10, your ratio will be 5/10.
In mathematics, a ratio indicates how many times one quantity incorporates some other. for instance, if there are 8 oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is 8 to 6. further, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the full amount of fruit is 8:14.
Ratios can be absolutely simplified just like fractions. To simplify a ratio, divide all the numbers in the ratio through the same wide variety until they can not be divided anymore.
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Find angle ABH please please
Answer: 47°
Step-by-step explanation:
The probability is .80 that a standard normal random variable is between -z and +z. The value of z is approximately:________
The z value for the probability in the standard normal table is 1.29.
In this question,
Z-Score, also known as the standard score, indicates how many standard deviations an entity is, from the mean. A standard normal table (also called the unit normal table or z-score table) is a mathematical table for the values of ϕ, indicating the values of the cumulative distribution function of the normal distribution.
The value of probability is 0.80
A standard normal random variable is between -z and +z, So
P(-z < 0 < z) = 0.80
⇒ 2P(0 < z) = 0.80
⇒ P(0 < z) = [tex]\frac{0.80}{2}[/tex]
⇒ P(0 < z) = 0.40
From the standard normal table, z value for the probability 0.40 is
⇒ z = 1.29
Thus P(0 < 1.29) = 0.40
Hence we can conclude that the z value for the probability in the standard normal table is 1.29.
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A company’s cost, in dollars, of manufacturing x tablet computers can be represented by 20x + 200. The company’s predicted revenue of selling x tablet computers is 100 + 30x. Write a polynomial expression that represents the profit of selling x tablets. Simplify as much as possible (profit = revenue – cost)
The polynomial expression that represents the profit of selling x tablets is 10x - 100
PolynomialTotal cost = 20x + 200Predicted revenue = 100 + 30xprofit = revenue – cost
= (100 + 30x) - (20x + 200)
= 100 + 30x - 20x - 200
Profit = 10x - 100
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Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f _________.
The differentiation of the stated series expansion of f term-by-term to obtain the corresponding series expansion for the stated derivative of f is [tex]\sum_{n=1}^{\infty}[/tex] (-1)ⁿ(n3ⁿ)Xⁿ⁻¹
What are the steps to arrive at the above solution?f(x) = 1/ (1 + 3x) = [tex]\sum_{n=0}^{\infty}[/tex] (-1)ⁿ3ⁿxⁿ
⇒ f'(x) = d/dx [[tex]\sum_{n=0}^{\infty}[/tex](-1)ⁿ 3ⁿXⁿ]
= [tex]\sum_{n=0}^{\infty}[/tex] (-1)ⁿ3ⁿ d/dx (xⁿ)
= [tex]\sum_{n=1}^{\infty}[/tex] (-1)ⁿ3ⁿ(nxⁿ⁻¹)
= [tex]\sum_{n=1}^{\infty}[/tex] (-1)ⁿ3ⁿnxⁿ⁻¹
= [tex]\sum_{n=1}^{\infty}[/tex] ((-1)ⁿnxⁿ⁻¹)3ⁿ
= [tex]\sum_{n=1}^{\infty}[/tex] (-1)ⁿ(n3ⁿ)xⁿ-1
What is differentiation?In mathematics, differentiation is used to calculate rates of change. In mechanics, for example, velocity is the rate of change of displacement (with regard to time).
The acceleration is the rate of change of velocity (with respect to time).
What is the practical use of Differentiation in real life?They are employed in many fields, including
biologyeconomicsphysicschemistry, and engineering.They can be used to represent:
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Full Question:
Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f.
If f(x) = 1/ (1 + 3x) = [tex]\sum_{n=0}^{\infty}[/tex] (-1)ⁿ3ⁿxⁿ
What is the slope of the line through parentheses two, three parentheses and parentheses -3, four parentheses?
The Slope of the line :
[tex]m=-\frac{1}{5} \approx-0.2[/tex]
What is slope?Using small, whole integer coordinates, it is simple to manually determine a line's slope. The formula becomes more effective if the coordinates are given greater or decimal values.
Because all horizontal lines have the same y-coordinates, it is important to note that all of them have a gradient of zero. In the slope formula's numerator, this will produce a zero. A vertical line, on the other hand, will have an arbitrary slope because the x-coordinates are constant. When applying the formula, this will lead to a division by zero error.
slope = (y₂ - y₁) / (x₂ - x₁)
Using the two points P=(2,3) and Q=(-3,4) as your input, determine the slope.
P=(x1,y1) and Q=(x2,y2) are two points on a line, and the slope of that line is given by :
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
we have that:
[tex]x_{1}=2, y_{1}=3, x_{2}=-3, y_{2}=4[/tex]
Fill in the blanks in the slope calculation,
[tex]m=\frac{(4)-(3)}{(-3)-(2)}\\\\=\frac{1}{-5}\\\\=-\frac{1}{5}[/tex]
Reaction: the slope of the line is =[tex]m=-\frac{1}{5} \approx-0.2[/tex]
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the accompanying diagram shows a kit that has been secured to skate in the ground with a 20-foot string. the kit is located 12 feet from the ground, directly over point X. what is the distance, in feet, between the skate and point X.
The distance between the skate and point X is 16 feet
Given that the distance between point X and kite is 12 feet
and the distance between stake and kite is 20 feet
We need to find the distance between the stake and point X
Here,
Perpendicular = 12 feet
Hypotenuse = 20 feet
Base = ?
According to Pythagoras Theorem
(Hypotenuse)² = (Perpendicular)²+(Base)²
(20)² = (12)² + (Base)²
∴ (Base)² = 400 - 144
∴ (Base)² = 256
∴ Base = 16 feet
Hence the distance between the Point X and the stake is 16 feet
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Help with these two questions please !!
Answer:
1. (x + 8)(x + 3)
2. (x - 9)²
Step-by-step explanation:
Given trinomials:
1. [tex]x^2+11x+24[/tex]
2. [tex]x^2-18x+81[/tex]
..................................................................................................................................................
When factoring trinomials of the form ax² + bx + c:
Multiply the leading coefficient and the last term.Find the product factors that add up to give you the coefficient of the middle term.Rewrite the polynomial with those factors replacing the middle term...................................................................................................................................................
1) x² + 11x + 24
Step 1: Multiply the leading coefficient (1) and the last term (24).
[tex]\implies 1 \times 24 = \boxed{24}[/tex]
Step 2: Find the product factors that sum up to the middle term's coefficient (11).
[tex]\begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:24 & \sf Sum\:of\:factors\\\cline{1-2} 1, 24\ \| -1, -24 & 25\ \| -25 \\\cline{1-2} 2, 12\ \| -2, -12 & 14\ \| -14 \\ \cline{1-2} 3, 8\ \| -3, -8 & 11\ \| -11 \\\cline{1-2} 4, 6 \ \| -4, -6 & 10\ \| -10 \\\cline{1-2}\end{array}[/tex]
[tex]\implies 3x+8x=11x[/tex]
Step 3: Rewrite the polynomial with those factors, replacing the middle term.
[tex]\implies x^2+3x+8x+24[/tex]
Step 4: Factor by grouping.
[tex]\implies \overbrace{(x^2+3x)}^x+\overbrace{(8x+24)}^8\ \ \textsf{[ Factor out $x$ and $8$. ]}[/tex]
[tex]\implies x\overbrace{(x+3)}^{\textsf {Factor out}}+8(x+3)[/tex]
[tex]\implies \boxed{(x+8)(x+3)}[/tex]
The factored form of the given trinomial is [tex](x+8)(x+3)[/tex].
..................................................................................................................................................
2) x² - 18x + 81
Step 1: Multiply the leading coefficient (1) and the last term (81).
[tex]\implies 1 \times 81 = \boxed{81}[/tex]
Step 2: Find the product factors that sum up to the middle term's coefficient (-18).
[tex]\begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:81 & \sf Sum\:of\:factors\\\cline{1-2} 1, 81\ \| -1, -81 & 81\ \| -81 \\\cline{1-2} 3, 27\ \| -3, -27 & 30\ \| -30 \\ \cline{1-2} 9, 9\ \| -9, -9 & 18\ \| -18 \\\cline{1-2}\end{array}[/tex]
[tex]\implies (-9x)+(-9x)=-18x[/tex]
Step 3: Rewrite the polynomial with those factors, replacing the middle term.
[tex]\implies x^2-9x-9x+81[/tex]
Step 4: Factor by grouping.
[tex]\implies \overbrace{(x^2-9x)}^x+\overbrace{(-9x+81)}^{-9}\ \ \textsf{[ Factor out $x$ and $-9$. ]}[/tex]
[tex]\implies x\overbrace{(x-9)}^{\textsf {Factor out}}-9(x-9)[/tex]
[tex]\implies (x-9)(x-9)[/tex]
[tex]\implies \boxed{(x-9)^2}[/tex]
The factored form of the given trinomial is [tex](x-9)(x-9)\ \textsf{or}\ (x-9)^2[/tex].
standard deviation sign and the mean sign
Answer:
standard deviation sign is σ
mean sign is x , and sometimes it have a hyphen directly above x.
Step-by-step explanation:
Greetings!standard deviationIn statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
MeanIt is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. Then divide the sum by how many values there are.
summationThe symbol ∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern.
The sum of a positive number and 56 times its reciprocal is equal to its cube. What is the number?
Answer:
2×sqrt(2) = 2.828427125...
Step-by-step explanation:
x = "a positive number"
x + 56/x = x³
x² + 56 = x⁴
x⁴ - x² - 56 = 0
(x² + 7)(x² - 8) = 0
this is true only for
x² = -7
or
x² = 8
x² = -7 would mean that x is an imaginary number. so, that is not a valid solution here.
x² = 8 means
x = sqrt(8) = sqrt(4×2) = 2×sqrt(2) = 2.828427125...
The height of a certain species of plants is uniformly distributed on the interval of 5-12 cm. a plant was measured by jack. what is the probability that the height of this plant is between 6.3 and 7.8cm?
21 % is the answer.
Problem is that the height of this plant 6.3 and 7.8 cm
P (6.3 <x< 7.8)
12 -5 = 7cm
7.8 - 6.3 = 1.5cm
1.5 / 7 = 0.21
=21%
Probability is a field of mathematics that deals with the numerical description of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the impossibility of the event and 1 indicating certainty.
Probability is a measure of the likelihood that an event will occur. Many events cannot be predicted with absolute certainty. You can only predict the probability that an event will occur.
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option D is correct
Step-by-step explanation:
there were no corn muffins sold.
Answer:
No corn muffins were sold at the bake sale :)
Step-by-step explanation:
Lets go thru each answer choice to see why it is incorrect/correct :)
A.
A is incorrect because more cookies were sold than muffins! that is why A is incorrect :)
B.
This calls for adding! lets do that now :)
Chocolate chip: 5
Oatmeal: 1
Peanut: 3
6 + 1 + 3 = 10
10 < 11
10 is not greater than 11 so B is incorrect!! :)
C.
We need to add again so lets do that now!
Corn: 0
Muffin: 2
2 + 0 = 2
2 < 3
2 is less than 3 so C is incorrect!! :)
D.
It is true that 0 corn muffins were sold at the bake sale so D is our answer!! :D
Have an amazing day!!
Please rate and mark brainliest!!
Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other
equivalent forms. Explain how each form was created. (10 points)
The polynomial is P(z) = 5z * (z - 1) and the equivalent forms are P(z) = 5z^2 - 5z and P(z) = -5z + 5z^2
How to create the polynomial?The GCF is given as:
GCF = 5z
This means that the polynomial can be represented as:
P(z) = GCF * Another factor
We can make use of the following function
P(z) = 5z * (z - 1)
Expand
P(z) = 5z^2 - 5z
Rewrite as:
P(z) = -5z + 5z^2
Hence, the polynomial is P(z) = 5z * (z - 1) and the equivalent forms are P(z) = 5z^2 - 5z and P(z) = -5z + 5z^2
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Rosa goes to the home of Mr. and Mrs. Johnson twice a week to work with their 4-year-old on his letters and numbers. Rosa is providing
Rosa is providing home-based tutoring.
What is Home-based tutoring?
At-home tutoring is a type of tutoring that takes place in the student's house. Tutoring is frequently related to an academic subject or test preparation. This is in contrast to tutoring centers or after-school programs that give tutoring.A home tutor is an instructor who conducts classes in the convenience of your own home. Because they give personalized attention, these classes are frequently more expensive than those offered at tuition centers. In-home tutoring typically has fewer pupils, and the lessons are even more exclusive.Tutoring's goal is to help students help themselves, or to aid or guide them to the point where they are independent learners and no longer require a tutor.Therefore, Rosa is providing home-based tutoring.
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An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ()=−2+10+9.5 h ( x ) = − x 2 + 10 x + 9.5 , where x is the number of feet away from the sprinkler head (along the ground) the spray is.
Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.
How to determine the maximum height?For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -10/2(-1)
Xmax = 5.
Thus, the maximum height on the vertical axis is given by:
h(x) = -x² + 10x + 9.5
h(5) = -(5)² + 10(5) + 9.5
h(5) = -25 + 50 + 9.5
h(5) = 34.5 feet.
Therefore, the spray reaches a maximum height of 84.5 feet at a horizontal distance of 5 feet away from the sprinkler head.
Also, the spray reaches all the way to the ground at about:
Maximum distance = √34.5 + 5
Maximum distance = 10.87 feet.
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Complete Question:
An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.
1. The irrigation system is positioned____ feet above the ground to start.
2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.
3. The spray reaches all the way to the ground at about_____ feet away
The nth term of a sequence is 2n2² - 4n+4 Work out the 8th term of the sequence. 8th term= Submit Answer Skip for Now
The nth term of a sequence exists 2n2² - 4n+4 is 36.
What is PEMDAS' order of operations?The order of operations exists as a rule that describes the right sequence of measures for estimating a math expression. We can recognize the order utilizing PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).
[tex]$2*8*2^{2} - 4*8+4[/tex]
Follow the PEMDAS order of operations
Calculating the exponents, we get 2² = 4
[tex]= 2*8*4 - 4*8+4[/tex]
= 64-32 +4
= 36
Therefore, the nth term of a sequence that exists 2n2² - 4n+4 is 36.
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mr hassell came home to find that each of the 6 kit kat bars he brought had 1 bar eaten. They each had 3/4 in it.How many bars of kitkat are there in total.
The total number of bars of kitkat Mr hassell had in total is 3 1/2 bars
AlgebraNumber of bars = 6Number of bars eaten = 1Number of bar in each KitKat = 3/4Total bars of KitKat = 6 × 3/4
= (6×3)/4
= 18/4
= 9/2
= 4 1/2 bars
Number of bar remaining after eating 1 bar = 4 1/2 - 1
= 3 1/2 bars
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I NEED IT NOW
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
What value(s) of x will make x²=81 true?
Answer: 9,-9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
9x9=81
Jasmine buys a turkey every year . The first time she bought a turkey, in year 0, it cost $15.50. She notices the price is getting more expensive, at a rate of 2%
The price of the turkey based on the percentage given is $15.81.
How to illustrate the information?It was stated that the cost is $15.50 but that there was a 2% increment in price.
Therefore, the new price will be:
= $15.50 + (2% × $15.50)
= $15.50 + $0.31
= $15.81
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Explain how you could use the dimensions of a reduced rectangle and one given measurement of an original rectangle to find a missing measure?
Using the dimensions of a reduced rectangle and one given measurement of an original rectangle:
Set up a proportion using the corresponding partsSolve the proportion to find the missing measureWhat is Reduction?Reduction is a type of dilation that reduces the size of an original figure to form a new figure that is similar to the original. The corresponding lengths of both figures are therefore proportional.
Assuming the dimensions of the reduced rectangle are 10 cm by 4 cm, and the length of the original rectangle is given as 8 cm, to find the missing measure (x), do the following:
Set up a proportion using the corresponding parts
10/8 = 4/x
Solve the proportion using cross products to find x:
10x = (8)(4)
10x = 32
x = 32/10
x = 3.2 cm
The missing length is 3.2 cm.
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Answer:
Using the given measurements of both figures, set up a proportion that has the corresponding parts in the same position. Then solve the proportion using cross products to find the value for the unknown.
Step-by-step explanation:
Set up a proportionCorresponding sides are in the same place in the proportion.Use cross products in the proportion to solve for the unknown.Determine the length of side QR in the following triangle
The length of the side QR in the task content can be determined as; 12.22cm.
What is the length of the third side QR?It follows from the task content that 2 lengths and one included angle are given in the task content. It therefore follows that the length of side QR can be evaluated by the cosine rule as follows;
QR² = 13² + 4² - (2×4×13×cos70)
QR = √149.4
QR = 12.22cm
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Proof : tan10 x tan20 x tan…70 x tan80=1
This follows from the identity
[tex]\cot(x) = \dfrac1{\tan(x)} = \tan(90^\circ - x)[/tex]
The overall product is 1 because
[tex]\tan(10^\circ) \tan(80^\circ) = \cot(80^\circ) \tan(80^\circ) = 1[/tex]
[tex]\tan(20^\circ) \tan(70^\circ) = \cot(70^\circ) \tan(70^\circ) = 1[/tex]
[tex]\tan(30^\circ) \tan(60^\circ) = \cot(60^\circ) \tan(60^\circ) = 1[/tex]
[tex]\tan(40^\circ) \tan(50^\circ) = \cot(50^\circ) \tan(50^\circ) = 1[/tex]
780tonnes 650kilograms ÷13
Answer:
60 kilograms
Step-by-step explanation:
Which term describes the red curve in the figure below?
• A. Hyperbola
B. Circle
C. Parabola
• D. Ellipse
A cone has a circular base. So, the answer to your question is B for circle.
PLEASE HELP IM SUPER STUCK
Answer:
[tex]y = \frac{1}{4} x + 9[/tex]
Step-by-step explanation:
All lines take the form
[tex]y = mx + c[/tex]
Where m is the gradient (or slope), and c is the y-intercept. To find the gradient if a line perpendicular to another, we must find the negative reciprocal of the other line. The gradient of the line given is -4, so our negative reciprocal is 1/4.
To find our y-intercept, we must find the point where the line crosses the y-axis (in other words, when the X coordinate is 0). Helpfully, the coordinate given is already at this point, so we can simply take the y coordinate from here, and we know our y-intercept is 9. Putting this altogether, our equation is:
[tex]y = \frac{1}{4} x + 9[/tex]
A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?
A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?
Answer:
Journey taken time 5 hour at speed of 45km/hr
So,
1 hour=45/5=9km/hr
Therefore,3 hour=(9x3)km/hr.
(please mark me brainliest if my answer was good)
Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?
h(x) = 2(0.35)x
h(x) = –2(0.35)x
h(x) = 2(0.35)–x
h(x) = 2(–0.35)–x
The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
How to determine the reflection?The equation is given as:
f(x) = 2(0.35)^x
The reflection of a function over the y-axis is :
f'(x) = f(-x)
So, we have:
f(-x) = 2(0.35)^(-x)
From the list of options, we have
h(x) = 2(0.35)^(-x)
Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
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(‼️‼️I WILL MARK BRAINLIEST PLEASE HELP‼️‼️)Dilate the figure by the scale factor. Then enter
the new coordinates.
K = 5
(-3,-1)
A
(-1,-4) C
B(2,-2)
A' ([?], [ ])
B' ([ ], [ ])
C' ([ ], [ ])
Triangle ABC is dilated by a scale factor of 5 to get A'(-15, -5), B'(10, -10) and C'(-5, -20)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
Triangle ABC has vertices at A(-3, -1), B(2, -2) and C(-1, -4). It is then dilated by a scale factor of 5 to get A'(-15, -5), B'(10, -10) and C'(-5, -20)
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What are the coordinates of the terminal point corresponding to 0=-120?
Using the unit circle, the coordinates of the terminal point corresponding to [tex]\theta = 120^\circ[/tex] is: (-0.5, 0.866).
What is the unit circle?For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
In this problem, the angle is of [tex]\theta = 120^\circ[/tex], hence:
[tex]\cos{\theta} = \cos{120^\circ} = -0.5[/tex].[tex]\sin{\theta} = \sin{120^\circ} = 0.866[/tex].Hence the terminal point is:
(-0.5, 0.866).
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A soccer team played 25 games last season. they won 16 games, lost 5 games, and tied the rest.
[tex]\frac{25}{4}[/tex] of the games was a tie.
What is a fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.To find what fraction of the games was a tie:
Total game played = 25
Win 16 lose 5 total = 21
So, tie matches = 4
The fraction will be 25/4.
Therefore, [tex]\frac{25}{4}[/tex] of the game was a tie.
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Complete question:
A soccer team played 25 games last season they won 16 games, lost 5 games, and tied the rest what fraction of the games was a tie?